论文标题
Kob-Andersen模型中的自扩散系数
Self-Diffusion Coefficient in the Kob-Andersen Model
论文作者
论文摘要
Kob-Andersen模型是动力学约束晶格气体的一个基本示例，即具有川崎型动力学和动力学约束的相互作用粒子系统。在此模型中，当足够多的相邻站点是空的时，允许粒子跳跃。我们研究了单个标记粒子的运动，尤其是它的收敛到布朗运动。先前的结果表明，该粒子的路径确实在扩散的时间尺度上收敛，本文的目的是研究大密度的自扩散系数的衰减率。我们发现上限和下限与领先行为匹配。
The Kob-Andersen model is a fundamental example of a kinetically constrained lattice gas, that is, an interacting particle system with Kawasaki type dynamics and kinetic constraints. In this model, a particle is allowed to jump when sufficiently many neighboring sites are empty. We study the motion of a single tagged particle and in particular its convergence to a Brownian motion. Previous results showed that the path of this particle indeed converges in diffusive time-scale, and the purpose of this paper is to study the rate of decay of the self-diffusion coefficient for large densities. We find upper and lower bounds matching to leading behavior.
